Question

gemma is creating a histogram based on the table below.

salary range	number of people
$20,000 - $39,999	30
$40,000 - $59,999	35

which scale can she use for the vertical axis such that the difference in the heights of the bars is maximized?
0 - 50
0 - 40
10 - 50
25 - 40

Explanation:

Step1: Analyze the data range

The number of people values are 40, 30, 35. The maximum value is 40 and the minimum is 30.

Step2: Evaluate each scale option

• For 0 - 50: The range is large, making the differences in bar - heights less distinct.
• For 0 - 40: Since the maximum value is 40, the bars will be either at the top or close to it, reducing the visual difference.
• For 10 - 50: The extra lower range (10 - 0) makes the scale less focused on the data range.
• For 25 - 40: This scale closely fits the data range (30 - 40), maximizing the difference in the heights of the bars as the bars will be spread out more within this scale.

Answer:

25 - 40